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Finding the Fourth Proportional to 31,159.68, 46,748.44 and 15,369.44

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Solution

The fourth proportional to 31,159.68, 46,748.44 and 15,369.44 is: 23,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.68 : 46,748.44 = 15,369.44 : x
  2. Step 2: Convert to fraction form
    31,159.68/46,748.44 = 15,369.44/x
  3. Step 3: Cross multiply
    31,159.68x = 46,748.44 × 15,369.44
  4. Step 4: Simplify right side
    31,159.68x = 718,497,343.67
  5. Step 5: Solve for x
    x = 718,497,343.67/31,159.68
  6. Step 6: Final answer
    x = 23,058.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.